A researcher finds that the correlation between variable A and variable B is r = 1.20. She also finds that the correlation between variable C and variable B is r = 2.40. Which relationship is scientifically more useful and by how much?
Neither. r varies between +1 and -1.
The correlation coefficient 'r' measures the strength and direction of the linear relationship between two variables. However, correlation values have a bounded range from -1 to +1.
In this case, the researcher found that the correlation between variable A and variable B is 1.20. This value is beyond the maximum value of 1, which is not possible. Therefore, the value of 1.20 is invalid and incorrect. The researcher likely made an error in calculation or reporting.
On the other hand, the correlation between variable C and variable B is calculated as 2.40. Just like the previous case, this value is beyond the maximum value of 1, which is not possible. Therefore, the value of 2.40 is also invalid and incorrect.
To determine which relationship is scientifically more useful, we need valid correlation coefficients. Since both provided values are invalid, it is not possible to compare their usefulness or make any conclusions based on the given information.
To compute valid correlation coefficients, you need to use appropriate statistical methods and formulas. Ensure accurate data entry and double-check calculations before reporting the results.